Pith Number

pith:ISDVBM5Y

pith:2013:ISDVBM5YKEJY6XX7JXBVNFHRBL

not attested not anchored not stored refs pending

Pointwise recurrence for commuting measure preserving transformations

Idris Assani

arxiv:1312.5270 v2 · 2013-12-18 · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ISDVBM5YKEJY6XX7JXBVNFHRBL}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:41:00.199624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

448750b3b851138f5eff4dc35694f10ad4018eed8c2b52220d35c1804c56ba72

Aliases

arxiv: 1312.5270 · arxiv_version: 1312.5270v2 · doi: 10.48550/arxiv.1312.5270 · pith_short_12: ISDVBM5YKEJY · pith_short_16: ISDVBM5YKEJY6XX7 · pith_short_8: ISDVBM5Y

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ISDVBM5YKEJY6XX7JXBVNFHRBL \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 448750b3b851138f5eff4dc35694f10ad4018eed8c2b52220d35c1804c56ba72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e3abe681033ca676a55f5d4f20fa4f1e0cf1d9720df0ea84f6ce3d1a157b443",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-12-18T19:21:03Z",
    "title_canon_sha256": "dee735db9ce55ced211c7349a1d70e80933c4857cdb15e8028df2bcc2edd441a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5270",
    "kind": "arxiv",
    "version": 2
  }
}